What is the limit as x approaches infinity of-|x| ?

The limit as x approaches infinity of-|x| is -infinity

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limit as x approaches infinity of-|x|

x \to \infty lim (- ∣ x ∣)

- \infty

Solution steps

x \to \infty lim (- ∣ x ∣)

x

is positive when

x \to \infty

. Therefore

∣ x ∣ = x

= x \to \infty lim (- x)

Apply Infinity Property:

x \to \infty lim (a x^{n} + \dots + b x + c) = - \infty, a < 0,

n is odd

a = - 1, n = 1

= - \infty

x \to π lim (2 cos (x) + e^{x})

x \to - 3 + lim (\frac{3 + x}{x})

x \to \infty lim (x^{2} + 3 x)

x \to - \infty lim (2 x + 5)

x \to (5, - 1) lim (x^{2} + y^{2})

What is the limit as x approaches infinity of-|x| ?
The limit as x approaches infinity of-|x| is -infinity